NIMCET 2023 — Mathematics PYQ

A computer producing factory has only two plants T${}_1$ and T${}_2.$ Plant T${}_1$ produces 20% and plant T${}_2$ produces $80\%$ of total computers produced. 7% of computers produced in the factory turn out to be defective. It is known that P(computer turns out to be defective given that it is produced in plant T${}_1)=10$P (computer turns out to be defective given that it is produced in plant T, where P(E) denotes the probability ofan event E. A computer produced in the factory is randomly selected and it does not turn out to be defective. Then the probability that it is produced in plant T${}_2$is